1962688 has 56 divisors (see below), whose sum is σ = 4807712. Its totient is φ = 774144.

The previous prime is 1962661. The next prime is 1962689. The reversal of 1962688 is 8862691.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1962688³ = 22681671500533334016, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1962688.

It is not an unprimeable number, because it can be changed into a prime (1962689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5656 + ... + 5992.

It is an arithmetic number, because the mean of its divisors is an integer number (85852).

2^1962688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403856).

1962688 is an abundant number, since it is smaller than the sum of its proper divisors (2845024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1962688 is a wasteful number, since it uses less digits than its factorization.

1962688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 1962688 is about 1400.9596710826. The cubic root of 1962688 is about 125.2036786066.

The spelling of 1962688 in words is "one million, nine hundred sixty-two thousand, six hundred eighty-eight".